Question
If I multiply a number by 7 this gives the same result as if I had added 24 to the number.
Ask by Gonzalez Ingram. in New Zealand
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number is 4.
Solution
Let \( x \) be the number. Then we have the equation
\[
7x = x + 24.
\]
Subtract \( x \) from both sides:
\[
7x - x = 24 \quad \Rightarrow \quad 6x = 24.
\]
Now, divide both sides by 6:
\[
x = \frac{24}{6} = 4.
\]
So, the number is \( 4 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
This intriguing equation can be represented as \(7x = x + 24\), where \(x\) is the number in question. Solving this is quite the adventure! By rearranging the equation, you end up with \(6x = 24\), which simplifies down nicely to \(x = 4\). So, the mystery number you're searching for is 4! Interestingly, this type of equation often pops up in real life—think about budgeting or planning a project! If you have a certain amount of money and you want to multiply it by 7 (like multiplying your investment returns), you can explore how much more you'll have after adding a fixed amount (like costs or expenses). It’s all about finding that balance!
